Topology and the Chinese Remainder Theorem?

ForMyThunder

Is there anywhere in topology where one would see the Chinese Remainder Theorem?

mathwonk

let me fantasize a little. In essence the chinese remainder theorem is a result that allows us to conclude surjectivity from injectivity. such theorems exist also in topology, such as the fact that an embedding of a compact manifold in a connected manifold of the same dimension should be surjective? is that true? something like that anyway. ok this is a bit far out. but so is the question.

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ForMyThunder	Topology and the Chinese Remainder Theorem? Tweet Is there anywhere in topology where one would see the Chinese Remainder Theorem?

mathwonk Recognitions: Homework Help Science Advisor	let me fantasize a little. In essence the chinese remainder theorem is a result that allows us to conclude surjectivity from injectivity. such theorems exist also in topology, such as the fact that an embedding of a compact manifold in a connected manifold of the same dimension should be surjective? is that true? something like that anyway. ok this is a bit far out. but so is the question.